Han Cheng

activity

20222026

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math.AP2025

The $L^{p}$ boundedness of wave operators for the Laplace operator with finite rank perturbations

Han Cheng, Shanlin Huang, Avy Soffer +1

This paper investigates the $L^{p}$ boundedness of wave operators for the Laplace operator with finite rank perturbations \begin{equation*} H=-Δ+\sum\limits_{i=1}^N\langle\cdot\,, φ_…

math.AP2025

The $L^{p}$ -boundedness of wave operators for higher order Schrödinger operator with zero singularities in low odd dimensions

Han Cheng, Avy Soffer, Zhao Wu +1

This paper investigates the $L^{p}$ -bounds of wave operators for higher-order Schrödinger operators $H = (- Δ)^{m} + V$ on $R^{n}$ , with $m \geq 2$ and real-valued decaying potent…

math.AP2025

Pointwise estimates for the fundamental solutions of higher order schrödinger equations with finite rank perturbations

Xinyi Chen, Han Cheng, Shanlin Huang

This paper is dedicated to studying pointwise estimates of the fundamental solution for the higher order Schrödinger equation: % we investigate the fundamental solution of the high…

The Lp boundedness of wave operators for the Laplace operator with finite rank perturbations

The Lp-boundedness of wave operators for higher order Schrödinger operator with zero singularities in low odd dimensions

Pointwise estimates for the fundamental solutions of higher order schrödinger equations with finite rank perturbations

The $L^{p}$ boundedness of wave operators for the Laplace operator with finite rank perturbations

The $L^{p}$ -boundedness of wave operators for higher order Schrödinger operator with zero singularities in low odd dimensions